(**************************************************************************)
include "basic_2/rt_computation/fpbg_fpbs.ma".
(**************************************************************************)
include "basic_2/rt_computation/fpbg_fpbs.ma".
#h #o #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
#G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
elim (fpbs_inv_fpbg … H12) -H12
#h #o #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
#G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
elim (fpbs_inv_fpbg … H12) -H12
(∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
(∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
- (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
- R G1 L1 T1
+ (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+ Q G1 L1 T1
) →
∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
) →
∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
- ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2.
-#h #o #R #IH1 #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
+ ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2.
+#h #o #Q #IH1 #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
(∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
(∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
- (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
- R G1 L1 T1
+ (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+ Q G1 L1 T1
- ∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ → R G1 L1 T1.
-#h #o #R #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H
+ ∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ → Q G1 L1 T1.
+#h #o #Q #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H